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Finding the Fourth Proportional to 2,224.51, 3,336.95 and 664.41

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Solution

The fourth proportional to 2,224.51, 3,336.95 and 664.41 is: 996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.51 : 3,336.95 = 664.41 : x
  2. Step 2: Convert to fraction form
    2,224.51/3,336.95 = 664.41/x
  3. Step 3: Cross multiply
    2,224.51x = 3,336.95 × 664.41
  4. Step 4: Simplify right side
    2,224.51x = 2,217,102.95
  5. Step 5: Solve for x
    x = 2,217,102.95/2,224.51
  6. Step 6: Final answer
    x = 996.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.